Please please help. 100 points!!

Question

asked Jan 27, 2023 116k views

1 Answer

Jakub Riedl · Answer 1 · 2023-02-01T04:03:11+0000

Answer:

x=5 and y=8

Explanation:

First, set up a system of equations:

$2x+y=18\\y=4x-12$

Then, since equation 2 is already solved for y, substitute 4x-12 into equation 1 for y and solve the resulting equation for x:

$2x+y=18\\2x+(4x-12)=18\\6x-12=18\\(6x-12)+12=(18)+12\\6x=30\\(6x)/(6)=(30)/(6)\\x=5$

Next, substitute 5 for x in equation 2:

$y=4x-12\\y=4(5)-12\\y=20-12\\y=8$

To check the two solutions, substitute back into the original problem:

$2x+y=18\\2(5)+(8)=18\\10+8=18\\18=18$

and

$y=4x-12\\8=4(5)-12\\8=20-12\\8=8$